Add 40/15 and 7/84
1st number: 2 10/15, 2nd number: 7/84
40/15 + 7/84 is 11/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 15 × 28 = 420,
40/15 = 40 × 28/15 × 28 = 1120/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
7/84 = 7 × 5/84 × 5 = 35/420 - Add the two like fractions:
1120/420 + 35/420 = 1120 + 35/420 = 1155/420 - 1155/420 simplified gives 11/4
- So, 40/15 + 7/84 = 11/4
In mixed form: 23/4
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